Dual connections and affine geometry

Amari, S.: Differential geometrical methods in statistics. (Lect. Notes Stat., vol. 28) Berlin Heidelberg New York: Springer 1985
MATH Google Scholar
Amari, S.: Differential geometry of statistics-towards new developments. In (Differential Geometry in Statistical Inference). IMS Monograph, Institute of Mathematical Statistics, Hayward, Calif. 1987
Google Scholar
Amari, S., Nagaoka, H.: Differential geometry of smooth families of probability distributions. 82–7, University of Tokyo, Technical Report METR 1982
Cheng, S.Y., Yau, S.T.: Complete affine hypersurfaces. The completeness of affine metrics. Commun. Pure Appl. Math.39, 839–866 (1986)
MATH MathSciNet Google Scholar
Shima, H.: Compact locally Hessian manifolds. Osaka J. Math.15, 509–513 (1973)
MathSciNet Google Scholar

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Department of Applied Mathematics, Fukuoka University, Nanakuma, Jonan-ku, 814-01, Fukuoka, Japan
Takashi Kurose

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Takashi Kurose
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Kurose, T. Dual connections and affine geometry. Math Z 203, 115–121 (1990). https://doi.org/10.1007/BF02570725

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